TSTP Solution File: SET787-2 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SET787-2 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:01:32 EDT 2024
% Result : Unsatisfiable 236.53s 31.78s
% Output : CNFRefutation 236.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 6 unt; 5 nHn; 15 RR)
% Number of literals : 32 ( 9 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_142,plain,
( ~ member(X0,cons(X1,eptset))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause111) ).
cnf(c_143,plain,
( ~ member(X0,cons(X1,X2))
| X0 = X1
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause112) ).
cnf(c_150,plain,
( ~ member(X0,union(X1))
| member(X0,unionE_sk1(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
cnf(c_151,plain,
( ~ member(X0,union(X1))
| member(unionE_sk1(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
cnf(c_190,plain,
( ~ member(X0,X1)
| member(X0,un(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI1) ).
cnf(c_191,plain,
( ~ member(X0,X1)
| member(X0,un(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unI2) ).
cnf(c_196,negated_conjecture,
member(sk2,union(cons(a,cons(b,eptset)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c1) ).
cnf(c_197,negated_conjecture,
~ member(sk2,un(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',un_eq_Union_2_c2) ).
cnf(c_5745,plain,
~ member(sk2,b),
inference(superposition,[status(thm)],[c_191,c_197]) ).
cnf(c_5746,plain,
~ member(sk2,a),
inference(superposition,[status(thm)],[c_190,c_197]) ).
cnf(c_49398,plain,
( ~ member(X0,union(cons(X1,X2)))
| unionE_sk1(X0,cons(X1,X2)) = X1
| member(unionE_sk1(X0,cons(X1,X2)),X2) ),
inference(superposition,[status(thm)],[c_151,c_143]) ).
cnf(c_49984,plain,
( ~ member(X0,union(cons(X1,cons(X2,eptset))))
| unionE_sk1(X0,cons(X1,cons(X2,eptset))) = X1
| unionE_sk1(X0,cons(X1,cons(X2,eptset))) = X2 ),
inference(superposition,[status(thm)],[c_49398,c_142]) ).
cnf(c_67794,plain,
( unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = b ),
inference(superposition,[status(thm)],[c_196,c_49984]) ).
cnf(c_68139,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| unionE_sk1(sk2,cons(a,cons(b,eptset))) = a
| member(sk2,b) ),
inference(superposition,[status(thm)],[c_67794,c_150]) ).
cnf(c_68144,plain,
unionE_sk1(sk2,cons(a,cons(b,eptset))) = a,
inference(global_subsumption_just,[status(thm)],[c_68139,c_196,c_5745,c_68139]) ).
cnf(c_68151,plain,
( ~ member(sk2,union(cons(a,cons(b,eptset))))
| member(sk2,a) ),
inference(superposition,[status(thm)],[c_68144,c_150]) ).
cnf(c_68156,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_68151,c_5746,c_196]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET787-2 : TPTP v8.1.2. Released v2.7.0.
% 0.07/0.12 % Command : run_iprover %s %d THM
% 0.11/0.33 % Computer : n025.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 20:45:43 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 236.53/31.78 % SZS status Started for theBenchmark.p
% 236.53/31.78 % SZS status Unsatisfiable for theBenchmark.p
% 236.53/31.78
% 236.53/31.78 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 236.53/31.78
% 236.53/31.78 ------ iProver source info
% 236.53/31.78
% 236.53/31.78 git: date: 2024-05-02 19:28:25 +0000
% 236.53/31.78 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 236.53/31.78 git: non_committed_changes: false
% 236.53/31.78
% 236.53/31.78 ------ Parsing...successful
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78 ------ Preprocessing... sup_sim: 0 sf_s rm: 16 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e
% 236.53/31.78
% 236.53/31.78 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 236.53/31.78
% 236.53/31.78 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 236.53/31.78 ------ Proving...
% 236.53/31.78 ------ Problem Properties
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78 clauses 115
% 236.53/31.78 conjectures 2
% 236.53/31.78 EPR 6
% 236.53/31.78 Horn 94
% 236.53/31.78 unary 19
% 236.53/31.78 binary 64
% 236.53/31.78 lits 243
% 236.53/31.78 lits eq 48
% 236.53/31.78 fd_pure 0
% 236.53/31.78 fd_pseudo 0
% 236.53/31.78 fd_cond 0
% 236.53/31.78 fd_pseudo_cond 17
% 236.53/31.78 AC symbols 0
% 236.53/31.78
% 236.53/31.78 ------ Input Options Time Limit: Unbounded
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78 ------
% 236.53/31.78 Current options:
% 236.53/31.78 ------
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78 ------ Proving...
% 236.53/31.78
% 236.53/31.78
% 236.53/31.78 % SZS status Unsatisfiable for theBenchmark.p
% 236.53/31.78
% 236.53/31.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 236.53/31.78
% 236.53/31.78
%------------------------------------------------------------------------------